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non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
three of a kind 3 192 0.31% 1 : 322
two pairs 3 432 0.70% 1 : 143
one pair 40 15,360 24.75% 1 : 3.04
high card 44 44,880 72.31% 2.61 : 1
total 136 62,064 100 %



note: in the table below, a flush (or straight flush or royal flush) can by definition only occur if all five cards are of the same suit.
therefore, the "s" next to hole cards means that the hole cards are suited AND all three flop cards are of that suit, too.


ranking of all 136 distinct hole cards
hole cards hand category combinations probability odds equity
nuts 32s A5432 straight flush 4 0.01% 1 : 15515 100.00%
 
2 KQs AKQ54 flush 4 0.01% 1 : 15515 99.99%
3 KJs AKJ54 flush 4 0.01% 1 : 15515 99.99%
4 KTs AKT54 flush 4 0.01% 1 : 15515 99.98%
5 K9s AK954 flush 4 0.01% 1 : 15515 99.97%
6 K8s AK854 flush 4 0.01% 1 : 15515 99.97%
7 K7s AK754 flush 4 0.01% 1 : 15515 99.96%
8 K6s AK654 flush 4 0.01% 1 : 15515 99.95%
9 K3s AK543 flush 4 0.01% 1 : 15515 99.95%
10 K2s AK542 flush 4 0.01% 1 : 15515 99.94%
11 QJs AQJ54 flush 4 0.01% 1 : 15515 99.94%
12 QTs AQT54 flush 4 0.01% 1 : 15515 99.93%
13 Q9s AQ954 flush 4 0.01% 1 : 15515 99.92%
14 Q8s AQ854 flush 4 0.01% 1 : 15515 99.92%
15 Q7s AQ754 flush 4 0.01% 1 : 15515 99.91%
16 Q6s AQ654 flush 4 0.01% 1 : 15515 99.90%
17 Q3s AQ543 flush 4 0.01% 1 : 15515 99.90%
18 Q2s AQ542 flush 4 0.01% 1 : 15515 99.89%
19 JTs AJT54 flush 4 0.01% 1 : 15515 99.88%
20 J9s AJ954 flush 4 0.01% 1 : 15515 99.88%
21 J8s AJ854 flush 4 0.01% 1 : 15515 99.87%
22 J7s AJ754 flush 4 0.01% 1 : 15515 99.86%
23 J6s AJ654 flush 4 0.01% 1 : 15515 99.86%
24 J3s AJ543 flush 4 0.01% 1 : 15515 99.85%
25 J2s AJ542 flush 4 0.01% 1 : 15515 99.85%
26 T9s AT954 flush 4 0.01% 1 : 15515 99.84%
27 T8s AT854 flush 4 0.01% 1 : 15515 99.83%
28 T7s AT754 flush 4 0.01% 1 : 15515 99.83%
29 T6s AT654 flush 4 0.01% 1 : 15515 99.82%
30 T3s AT543 flush 4 0.01% 1 : 15515 99.81%
31 T2s AT542 flush 4 0.01% 1 : 15515 99.81%
32 98s A9854 flush 4 0.01% 1 : 15515 99.80%
33 97s A9754 flush 4 0.01% 1 : 15515 99.79%
34 96s A9654 flush 4 0.01% 1 : 15515 99.79%
35 93s A9543 flush 4 0.01% 1 : 15515 99.78%
36 92s A9542 flush 4 0.01% 1 : 15515 99.77%
37 87s A8754 flush 4 0.01% 1 : 15515 99.77%
38 86s A8654 flush 4 0.01% 1 : 15515 99.76%
39 83s A8543 flush 4 0.01% 1 : 15515 99.76%
40 82s A8542 flush 4 0.01% 1 : 15515 99.75%
41 76s A7654 flush 4 0.01% 1 : 15515 99.74%
42 73s A7543 flush 4 0.01% 1 : 15515 99.74%
43 72s A7542 flush 4 0.01% 1 : 15515 99.73%
44 63s A6543 flush 4 0.01% 1 : 15515 99.72%
45 62s A6542 flush 4 0.01% 1 : 15515 99.72%
 
46 32 A5432 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 AA AAA54 three of a kind 64 0.10% 1 : 969 98.07%
48 55 A5554 three of a kind 64 0.10% 1 : 969 97.96%
49 44 A5444 three of a kind 64 0.10% 1 : 969 97.86%
 
50 A5 AA554 two pairs 144 0.23% 1 : 430 97.76%
51 A4 AA544 two pairs 144 0.23% 1 : 430 97.53%
52 54 A5544 two pairs 144 0.23% 1 : 430 97.29%
 
53 AK AAK54 one pair 384 0.62% 1 : 161 97.06%
54 AQ AAQ54 one pair 384 0.62% 1 : 161 96.44%
55 AJ AAJ54 one pair 384 0.62% 1 : 161 95.82%
56 AT AAT54 one pair 384 0.62% 1 : 161 95.20%
57 A9 AA954 one pair 384 0.62% 1 : 161 94.59%
58 A8 AA854 one pair 384 0.62% 1 : 161 93.97%
59 A7 AA754 one pair 384 0.62% 1 : 161 93.35%
60 A6 AA654 one pair 384 0.62% 1 : 161 92.73%
61 A3 AA543 one pair 384 0.62% 1 : 161 92.11%
62 A2 AA542 one pair 384 0.62% 1 : 161 91.49%
63 KK AKK54 one pair 384 0.62% 1 : 161 90.87%
64 QQ AQQ54 one pair 384 0.62% 1 : 161 90.26%
65 JJ AJJ54 one pair 384 0.62% 1 : 161 89.64%
66 TT ATT54 one pair 384 0.62% 1 : 161 89.02%
67 99 A9954 one pair 384 0.62% 1 : 161 88.40%
68 88 A8854 one pair 384 0.62% 1 : 161 87.78%
69 77 A7754 one pair 384 0.62% 1 : 161 87.16%
70 66 A6654 one pair 384 0.62% 1 : 161 86.54%
71 K5 AK554 one pair 384 0.62% 1 : 161 85.92%
72 Q5 AQ554 one pair 384 0.62% 1 : 161 85.31%
73 J5 AJ554 one pair 384 0.62% 1 : 161 84.69%
74 T5 AT554 one pair 384 0.62% 1 : 161 84.07%
75 95 A9554 one pair 384 0.62% 1 : 161 83.45%
76 85 A8554 one pair 384 0.62% 1 : 161 82.83%
77 75 A7554 one pair 384 0.62% 1 : 161 82.21%
78 65 A6554 one pair 384 0.62% 1 : 161 81.59%
79 53 A5543 one pair 384 0.62% 1 : 161 80.97%
80 52 A5542 one pair 384 0.62% 1 : 161 80.36%
81 K4 AK544 one pair 384 0.62% 1 : 161 79.74%
82 Q4 AQ544 one pair 384 0.62% 1 : 161 79.12%
83 J4 AJ544 one pair 384 0.62% 1 : 161 78.50%
84 T4 AT544 one pair 384 0.62% 1 : 161 77.88%
85 94 A9544 one pair 384 0.62% 1 : 161 77.26%
86 84 A8544 one pair 384 0.62% 1 : 161 76.64%
87 74 A7544 one pair 384 0.62% 1 : 161 76.02%
88 64 A6544 one pair 384 0.62% 1 : 161 75.41%
89 43 A5443 one pair 384 0.62% 1 : 161 74.79%
90 42 A5442 one pair 384 0.62% 1 : 161 74.17%
91 33 A5433 one pair 384 0.62% 1 : 161 73.55%
92 22 A5422 one pair 384 0.62% 1 : 161 72.93%
 
93 KQ AKQ54 high card 1,020 1.64% 1 : 59.8 72.31%
94 KJ AKJ54 high card 1,020 1.64% 1 : 59.8 70.67%
95 KT AKT54 high card 1,020 1.64% 1 : 59.8 69.03%
96 K9 AK954 high card 1,020 1.64% 1 : 59.8 67.38%
97 K8 AK854 high card 1,020 1.64% 1 : 59.8 65.74%
98 K7 AK754 high card 1,020 1.64% 1 : 59.8 64.10%
99 K6 AK654 high card 1,020 1.64% 1 : 59.8 62.45%
100 K3 AK543 high card 1,020 1.64% 1 : 59.8 60.81%
101 K2 AK542 high card 1,020 1.64% 1 : 59.8 59.16%
102 QJ AQJ54 high card 1,020 1.64% 1 : 59.8 57.52%
103 QT AQT54 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q9 AQ954 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q8 AQ854 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q7 AQ754 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q6 AQ654 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 AQ543 high card 1,020 1.64% 1 : 59.8 47.66%
109 Q2 AQ542 high card 1,020 1.64% 1 : 59.8 46.02%
110 JT AJT54 high card 1,020 1.64% 1 : 59.8 44.37%
111 J9 AJ954 high card 1,020 1.64% 1 : 59.8 42.73%
112 J8 AJ854 high card 1,020 1.64% 1 : 59.8 41.09%
113 J7 AJ754 high card 1,020 1.64% 1 : 59.8 39.44%
114 J6 AJ654 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 AJ543 high card 1,020 1.64% 1 : 59.8 36.16%
116 J2 AJ542 high card 1,020 1.64% 1 : 59.8 34.51%
117 T9 AT954 high card 1,020 1.64% 1 : 59.8 32.87%
118 T8 AT854 high card 1,020 1.64% 1 : 59.8 31.23%
119 T7 AT754 high card 1,020 1.64% 1 : 59.8 29.58%
120 T6 AT654 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 AT543 high card 1,020 1.64% 1 : 59.8 26.30%
122 T2 AT542 high card 1,020 1.64% 1 : 59.8 24.65%
123 98 A9854 high card 1,020 1.64% 1 : 59.8 23.01%
124 97 A9754 high card 1,020 1.64% 1 : 59.8 21.37%
125 96 A9654 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 A9543 high card 1,020 1.64% 1 : 59.8 18.08%
127 92 A9542 high card 1,020 1.64% 1 : 59.8 16.43%
128 87 A8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 86 A8654 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 A8543 high card 1,020 1.64% 1 : 59.8 11.50%
131 82 A8542 high card 1,020 1.64% 1 : 59.8 9.86%
132 76 A7654 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 A7543 high card 1,020 1.64% 1 : 59.8 6.57%
134 72 A7542 high card 1,020 1.64% 1 : 59.8 4.93%
135 63 A6543 high card 1,020 1.64% 1 : 59.8 3.29%
136 62 A6542 high card 1,020 1.64% 1 : 59.8 1.64%